Hello...(adsbygoogle = window.adsbygoogle || []).push({});

We have 3 fermions (s=1/2) at the ground state of a harmonic oscillator moving over the x axis with a the classic hamiltonian for a three particle oscillator :

H =(1/2m)*(P1)^2 +((1/2)*m(w^2)((x1)^2)) +(1/2m)*(P2)^2 +((1/2)*m(w^2)((x2)^2)) +(1/2m)*(P3)^2 +((1/2)*m(w^2)((x3)^2))

we have a pertubation between fermions that is:

W=g*m*((w^2)/h)*(S1z*x2*x3+S2z*x3*x1+S3z*x1*x2).

And it is asked the chande of the ground state's energy due to the pertubation.

**Physics Forums - The Fusion of Science and Community**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Harmonic Oscillator with fermions

Loading...

Similar Threads - Harmonic Oscillator fermions | Date |
---|---|

I Are quantum harmonic oscillators and radiation modes equal? | Jun 4, 2017 |

I Harmonic Oscillator equivalence | Feb 6, 2017 |

I Harmonic oscillator ladder operators | Dec 2, 2016 |

**Physics Forums - The Fusion of Science and Community**